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121221332040 = 23351010177767
BaseRepresentation
bin111000011100101011…
…0101011110001001000
3102120220010022201002110
41300321112223301020
53441230130111130
6131404401502320
711520656215134
oct1607126536110
9376803281073
10121221332040
1147456310a46
121b5b09419a0
13b57b23a353
145c1d62a3c4
153247306ab0
hex1c395abc48

121221332040 has 32 divisors (see below), whose sum is σ = 363663996480. Its totient is φ = 32325688512.

The previous prime is 121221331981. The next prime is 121221332051. The reversal of 121221332040 is 40233122121.

It is a super-2 number, since 2×1212213320402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121221331998 and 121221332016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505088764 + ... + 505089003.

It is an arithmetic number, because the mean of its divisors is an integer number (11364499890).

Almost surely, 2121221332040 is an apocalyptic number.

121221332040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221332040 is an abundant number, since it is smaller than the sum of its proper divisors (242442664440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221332040 is a wasteful number, since it uses less digits than its factorization.

121221332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010177781 (or 1010177777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121221332040 its reverse (40233122121), we get a palindrome (161454454161).

It can be divided in two parts, 1212213 and 32040, that added together give a triangular number (1244253 = T1577).

The spelling of 121221332040 in words is "one hundred twenty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1010177767 2020355534 3030533301 4040711068 5050888835 6061066602 8081422136 10101777670 12122133204 15152666505 20203555340 24244266408 30305333010 40407110680 60610666020 121221332040